Asymptotic stability of BAM neural networks of neutral-type with impulsive effects and time delay in the leakage term

Abstract

This paper presents asymptotic stability of bi-directional associative memory neural networks of the neutral-type with impulsive effects and time delay in the leakage term. Based on the topological degree theory, the Lyapunov method and the linear matrix inequality approach, some sufficient conditions are derived to ensure the existence, uniqueness and global asymptotic stability of the equilibrium point for the considered model. Finally, six numerical examples are given to illustrate the effectiveness and less conservatism of the derived results.

Keywords:

• BAM neural networks
• impulses
• linear matrix inequality
• leakage term
• neutral delay

2010 AMS Subject Classifications :

• 37B25
• 92B20

Acknowledgements

The authors would like to express their sincere gratitude to the Editor-in-Chief and Anonymous Reviewer for their valuable comments and suggestions to improve the quality of the manuscript. The work of the authors was supported by UGC-SAP (DRS-II) Grant No. F.510/2/DRS/2009(SAP-I).